Asymptotic homogenization of composite materials and structures

AL Kalamkarov, IV Andrianov, VV Danishevs' kyy - 2009 - asmedigitalcollection.asme.org
The present paper provides details on the new trends in application of asymptotic
homogenization techniques to the analysis of composite materials and thin-walled …

Celebrating the centenary of Timoshenko's study of effects of shear deformation and rotary inertia

I Elishakoff, J Kaplunov… - Applied …, 2015 - asmedigitalcollection.asme.org
This study revisits Timoshenko beam theory (TBT). It discusses at depth a more consistent
and simpler governing differential equation. The so-called second spectrum is also …

[图书][B] Homogenisation: averaging processes in periodic media: mathematical problems in the mechanics of composite materials

NS Bakhvalov, G Panasenko - 2012 - books.google.com
'Et moi,.... si j'avait su comment en revenir, One service mathematics has rendered the je n'y
semis point all,,: human race. It has put common sense back Jules Verne where it belongs …

[图书][B] Mathematical problems in elasticity and homogenization

OA Oleïnik, AS Shamaev, GA Yosifian - 1992 - books.google.com
This monograph is based on research undertaken by the authors during the last ten years.
The main part of the work deals with homogenization problems in elasticity as well as some …

At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: an underestimated and still topical contribution of Gabrio …

F Dell'Isola, U Andreaus… - … and Mechanics of Solids, 2015 - journals.sagepub.com
Gabrio Piola's scientific papers have been underestimated in mathematical physics
literature. Indeed, a careful reading of them proves that they are original, deep and far …

[图书][B] Foundations of micropolar mechanics

VA Eremeyev, LP Lebedev, H Altenbach - 2012 - books.google.com
The book presents foundations of the micropolar continuum mechanics including a short but
comprehensive introduction of stress and strain measures, derivation of motion equations …

[图书][B] Variational principles

V Berdichevsky, VL Berdichevsky - 2009 - Springer
Mechanics is a branch of physics studying motion. The history of mechanics, as well as the
history of other branches of science, is a history of attempts to explain the world by means of …

High-frequency homogenization for periodic media

RV Craster, J Kaplunov… - Proceedings of the …, 2010 - royalsocietypublishing.org
An asymptotic procedure based upon a two-scale approach is developed for wave
propagation in a doubly periodic inhomogeneous medium with a characteristic length scale …

Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids

N Auffray, F dell'Isola, VA Eremeyev… - … and Mechanics of …, 2015 - journals.sagepub.com
In this paper a stationary action principle is proved to hold for capillary fluids, ie fluids for
which the deformation energy has the form suggested, starting from molecular arguments …

A unified theory for constitutive modeling of composites

W Yu - Journal of Mechanics of Materials and Structures, 2016 - msp.org
A unified theory for multiscale constitutive modeling of composites is developed using the
concept of structure genomes. Generalized from the concept of the representative volume …